Atkin-Lehner |
2- 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
72720cd |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
1507921920 = 212 · 36 · 5 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1467,21546] |
[a1,a2,a3,a4,a6] |
Generators |
[15:54:1] |
Generators of the group modulo torsion |
j |
116930169/505 |
j-invariant |
L |
7.2473628347301 |
L(r)(E,1)/r! |
Ω |
1.5165879156628 |
Real period |
R |
1.1946822799793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998948 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4545c1 8080e1 |
Quadratic twists by: -4 -3 |